you deposit $2000 in an account that earns simple interest at an annual rate of 4%. how long must you leave the money in the account to earn $500 in interest?

4 hours ago 1
Nature

It looks like some information is missing from your question, specifically the annual interest rate and the exact amount of interest you want to earn (you wrote "00" which seems incomplete). To help you solve the problem, I'll explain the formula and how you can calculate the time once you have the missing details.

Simple Interest Formula

The formula for simple interest is:

I=P×r×tI=P\times r\times tI=P×r×t

Where:

  • III = interest earned
  • PPP = principal (initial deposit)
  • rrr = annual interest rate (in decimal form)
  • ttt = time in years

How to Find Time ttt

Rearranging the formula to solve for ttt:

t=IP×rt=\frac{I}{P\times r}t=P×rI​

Example

Suppose:

  • Principal P=2000P=2000P=2000 dollars
  • Interest I=100I=100I=100 dollars (assuming you meant 100)
  • Annual interest rate r=5%r=5%r=5% or 0.05

Then:

t=1002000×0.05=100100=1 yeart=\frac{100}{2000\times 0.05}=\frac{100}{100}=1\text{ year}t=2000×0.05100​=100100​=1 year

What You Need to Do

  1. Provide the annual interest rate (e.g., 5%, 3%, etc.).
  2. Confirm the exact interest amount you want to earn (e.g., 100, 200, etc.).

Once you provide those, I can calculate the exact time for you!